Atkin-Lehner |
3- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
90387s |
Isogeny class |
Conductor |
90387 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-17263353253659777 = -1 · 36 · 1111 · 83 |
Discriminant |
Eigenvalues |
-1 3- 0 1 11- -1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-124895,-18095624] |
[a1,a2,a3,a4,a6] |
j |
-166829162625/13367233 |
j-invariant |
L |
1.0111934216505 |
L(r)(E,1)/r! |
Ω |
0.12639915661843 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10043a1 8217i1 |
Quadratic twists by: -3 -11 |